Pith Number

pith:73PTA3YP

pith:2016:73PTA3YP5HWVEKDVEBQCQMB3OC

not attested not anchored not stored refs pending

Relative projectivity and transferability for partial lattices

Friedrich Wehrung (LMNO)

arxiv:1612.04189 v1 · 2016-12-12 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{73PTA3YP5HWVEKDVEBQCQMB3OC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:55:05.199886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fedf306f0fe9ed522875206028303b70b6d6928ec113ce1333be1e1b231e3baa

Aliases

arxiv: 1612.04189 · arxiv_version: 1612.04189v1 · doi: 10.48550/arxiv.1612.04189 · pith_short_12: 73PTA3YP5HWV · pith_short_16: 73PTA3YP5HWVEKDV · pith_short_8: 73PTA3YP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/73PTA3YP5HWVEKDVEBQCQMB3OC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: fedf306f0fe9ed522875206028303b70b6d6928ec113ce1333be1e1b231e3baa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfa9b38f4b6969562cd82d5d9e62d34c0f04a1298db5fb9c5d6a7b04cb194e62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-12T14:14:55Z",
    "title_canon_sha256": "c36a25aba6b84b5bd240cedfef4e67ebc0f348141aa99cc3f0319b3d09210aa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04189",
    "kind": "arxiv",
    "version": 1
  }
}